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Introductory Physics Homework Help
Microwave reflection problem
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[QUOTE="V0ODO0CH1LD, post: 4490674, member: 400805"] Okay so.. The waves that go all the way through and reflect at the bottom of the plate have to travel a distance ## 2d ## inside the plate, where ## d ## is the thickness of the plate. The minimum thickness so that those waves won't cause destructive interference is ## \frac{1}{2}\lambda_{plate} ##. Because if ## 2d=\frac{1}{2}\lambda_{plate} ## the waves that bounce back will have inverted phase. And if ## \frac{\lambda_{plate}}{\lambda_{air}}=\frac{n_{air}}{n_{plate}} ## from snell's law, then ## \frac{\lambda_{plate}}{\lambda_{air}}=\frac{1}{1.5} ##. And ## v=f\lambda ##, so ## \lambda_{air}=\frac{c}{f}=\frac{3x10^8}{2.5x10^9} ##. Therefore ## \lambda_{plate}=\frac{3x10^8}{1.5*2.5^10^9}=0.08m=8cm## So the minimum thickness ## d=\frac{1}{4}\lambda_{plate} ## is ## \frac{1}{4}8cm=2cm ## But I still don't get why some waves bounce back at the top and some bounce at the bottom.. Is it probabilistic?? [/QUOTE]
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Microwave reflection problem
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